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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Availability as a Cloud Service for Control System of Critical Energy Infrastructure</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>smoktii@gmail.com</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>National Aerospace University “KhAI”</institution>
          ,
          <addr-line>Kharkiv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Poltava National Technical University named after Yurij Kondratyuk</institution>
          ,
          <addr-line>Poltava</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>University of Customs and Finance</institution>
          ,
          <addr-line>Dnipro</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Vasyl' Stus Donetsk National University</institution>
          ,
          <addr-line>Vinnytsia</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2013</year>
      </pub-date>
      <fpage>0000</fpage>
      <lpage>0002</lpage>
      <abstract>
        <p>The increasing of energy consumptions and attempts to use Management and Control System based on cloud computing technologies for ensuring normal work of the critical energy infrastructure (CEI) are made serious demands for analyzing Infrastructure as a Service (IaaS) Cloud availability level. In this paper, a new perspective unified platform for determining of availability level of the IaaS Cloud pertaining to the information components of the CEI is described. In fact Semi-Markov Modeling Process for assess of overall availability level of the IaaS Cloud with multiple pools of physical and virtual machines based on a novel Availability as a Cloud Service platform in order to improve effectiveness of CEI was presented by authors.</p>
      </abstract>
      <kwd-group>
        <kwd>Infrastructure as a Service Cloud</kwd>
        <kwd>Control System of Critical Energy Infrastructure</kwd>
        <kwd>Availability as a Cloud Service</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>Nowadays cloud computing are improving the world by giving users powerful, scalable
computer and information resources, flexible management, enormous storage units for
big data etc. It is generally agreed today that migration process of information and
computer resources from classical information technologies domain into clouds is the best
way in order to achieve the positive results in science, education, production and
business. This trend also continues for critical infrastructures (CIs).</p>
      <p>
        One argument in support of cloud computing systems and technologies mission is
leveraged two Amazon EC2 data centers and Amazon VPC in the GridCloud project
sponsored by the U.S. Dept. of Energy, ARPA-E GENI program, Cornell University
and Washington State University. In fact, group of scientists have applied Amazon
cloud resource in order to ensure information canals between GridCloud cluster and
data center [
        <xref ref-type="bibr" rid="ref1 ref2">1,2</xref>
        ]. Perhaps inspired by ARPA program, let’s try to use this approach in
order to solve task of effective usage of the critical energy infrastructure (CEI) based
on perspective platform, which is seen as cloud service supporting the work of Control
System of CEI. Our main assignment is ensuring of high availability level Infrastructure
as a Service (IaaS) Cloud and Control System of CEI. Before begin to consider main
theoretical and practical aspects of Availability as a Cloud Service (AaaCS) issue, we
will perform analysis of works and achievements into cloud computing systems
domain, including some possibilities of leveraging the cloud computing as a mission for
CEI.
      </p>
      <p>
        To begin with availability and reliability of CEI. In [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] authors performed analysis
of different types of vulnerabilities and threats pertaining to the critical infrastructures
components, authors offered quite effective measures in order to address those negative
impacts. Specific emphasis was put on effectiveness of SCADA system and automation
of management of the renewable energy devices based on wireless sensor networks.
Relevant mathematical models based on the principles of analysis and availability
assessments of critical infrastructures were presented by authors in [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. Important aspects
of determining availability level of software different systems, considering the
rejuvenation policy based on Semi-Markov modeling process (SMP) are illustrated authors
in [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. Similar models can be used for determining availability level of CEI
components.
      </p>
      <p>
        It is clear that Non-Markovian approaches and models for assess of the availability
level CEI and IaaS Cloud play an important role, because these infrastructures have
complex regimes and states functioning of their components. Therefore, some groups
of scientists’ leverage SMP models in order to reliability and availability level for
different systems in preference to Markovian approach. In [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] authors have described one
of the most popular Non-Markovian approach, which researchers and specialists into
domain of the critical computing can use in order to determining availability level of
separate CEI components and as well as overall availability level of the CI.
      </p>
      <p>
        Nowadays different deliberate malicious impacts are the biggest threat for cyber
assets CEI and IaaS Cloud. In [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] different types of failures, including hidden failures for
physical machines (PMs) of the IaaS Cloud with multiple pools have been modeled by
authors in order to determine overall availability level of the cloud infrastructure. This
task was being solved based SMP approach. In spite of the fact, that durations of time
for CEI and IaaS Cloud are combination of random and deterministic values, one
should, however, not forget that some experts point out that if the complex systems are
components with a great variety of subsystems, then researchers can employ
assumption that all times are exponential distributed. In this case researchers can be used
Markov models. Turning to Markovian approach, take into account practical and theoretical
significance of the work [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. In this work authors have presented solution of the task
pertaining to the overall availability level of IaaS Cloud with multiple pools of physical
machines. Solution was gotten based on Continuous Time Markov Chains (CTMC). In
this context, let's keep to consider researches relating to the survivability modeling of
cloud service in distributed data center. In [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] authors performed analysis of cloud
service survivability with the usage of closed-form solutions [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] based on CTMC.
Experience availability pertaining to the software-defined cloud computing was submitted
by authors in [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], too. At the same times the scientific paper [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] discussed the most
important aspects of the implementation and submit of a graphical web-based
application, that allows users and vendors of cloud computing systems to determine reliability
level for different types of cloud using Monte Carlo simulation.
      </p>
      <p>This paper was drafted according to the following structure. In Section II main
theoretical aspects and practical provisions to develop and implement the cloud oriented
service for critical energy infrastructure based on usage of definite Semi-Markov
availability models are presented. Conclusions and discussions were set out in Section III.
2
2.1</p>
      <p>
        Some Fundamental Provisions of Availability as a Cloud
Service for Control System of Critical Energy Infrastructure
Overall Provisions of Availability as a Cloud Service
The initial purpose of the researches has been to get analytical product (PRDaaS) in
order to create cloud service for control system (CS) of CEI. However, development
trends of CEI and IaaS Cloud gave the opportunity to move on towards the procedure
as a service (PRCaaS). After that users and researchers have detected serious issues as
regards the availability for cloud infrastructure. For instance, events related to the
disruption of Amazon Simple Storage Service (S3), Amazon Elastic Compute Cloud
(EC2) and Amazon Elastic Block Store (EBS) in February 2017 [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] have confirmed
our apprehensions. Since, nowadays largest cloud service providers consider
availability is one of the most vital significant property of cloud infrastructure, let’s also try to
focus on this property. Next, the transition was implemented from Procedure as a
Service to the Property as a Service (PRPaaS) and different combinations for PRPaaS were
considered. Our logical chain for generalized service XaaS can be written as:
      </p>
    </sec>
    <sec id="sec-2">
      <title>XaaS  PRDaaS,PRCaaS,PRPaaS.</title>
      <p>(1)
In accordance with (1), generalized operator X is given the following combination for
set of products, observed processes, properties or attributes:
X  Pr oductHardware,Software,Infrastructure,Platform,Pr ocessMonitoring,
Testing,Technical and Information States Control,Communications,Pr operty /</p>
    </sec>
    <sec id="sec-3">
      <title>AttributeReliability,Faulttolerability, Availability,Security.</title>
      <p>(2)
Thus, our main goal is development of unified cloud oriented platform, that will work
according to overall logical chain (1), (2). Where necessary, the logical chain (1), (2)
can be extended and supplemented other products, procedures, processes and
properties. For instance, according to (2) content of Product can be extended if vendor will
try to take into account different critical systems, considering their how components of
CEI.
2.2</p>
      <p>Development of the Cloud Platform with Feature of Availability as a
Service
Let's begin with considering of features' set, that should be performed by using cloud
computing. Figure 1 shows taxonomy of ensuring the Availability as a Cloud Service
for CS of CEI.</p>
      <sec id="sec-3-1">
        <title>F1or save information in order</title>
        <p>to ensure decision-making</p>
      </sec>
      <sec id="sec-3-2">
        <title>F2or monitor PMU system and syPsMteUm</title>
        <p>feosrtimvaitsiuoanlsiziantiroenal-tiomfe state</p>
      </sec>
      <sec id="sec-3-3">
        <title>I3n order to carry out routine maintenance</title>
        <p>and capital maintenance
7
In order to prepare the staff to the actions under
extreme scenarios. In fact, there are that is trainings to
address the aftermath of the accidents and disasters
4
Itnecohrndicearltaondeninsfuorremamtioonnitsotraintegsof the
6
In order to implement simulation and
mathematical modeling process for
assess of overall availability level of the
cloud infrastructure and critical energy
infrastructure</p>
      </sec>
      <sec id="sec-3-4">
        <title>I5n order to ensure migration process of</title>
        <p>physical and virtual machines of the cloud
infrastructure
The architecture of cloud computing system should be built in accordance with the Fig.
1. However, the separation of features for cloud core (СLC) and cloud platform (CLP)
is necessary and suitable. Indeed, better if researchers would be able to introduce the
separation of features for cloud core and cloud platform in terms of ensuring availability
requirements for control system of CEI and IaaS Cloud. Table 1 shows separation of
features for CLC and CLP with availability as a service. Next step is representation of
architecture in order to deliver availability as a service for critical energy infrastructure.</p>
        <p>
          In order to develop concrete architecture familiar practical experience, related to
implementation appropriate projects should be considered. Note that the division on types
and models of the cloud computing systems in the field of scientific researches is
acquired purely a formal character. It means that hardly worth following the strong rules
and norms for building of cloud system's architecture. We consider, that in this case
creative attitude is played large and important role.
While developing the CLP with feature of AaaS, it is significant to be clear about which
type of cloud computing system better to use for perform the features of CLC and CLP.
Familiar experience prompt us that as a core can be used public cloud. At the same
time, considering specific tasks and issues, as a platform can be leveraged private cloud.
Perhaps inspired by investigations of the scientists from Washington State University
and Cornell University [
          <xref ref-type="bibr" rid="ref1 ref2">1,2</xref>
          ], researches of availability based on hybrid cloud
architecture will as well be tried to perform by us. Figure 2 is illustrated overall simplified
architecture for this service. As indicated in Fig. 2 by applying both types of clouds,
can be proceeded to the hybrid architecture. In this situation, hybrid cloud architecture
provides more accurate and immediate decisions and as well supports authorized
deduplication in order to ensure cybersecurity requirements [
          <xref ref-type="bibr" rid="ref13">13</xref>
          ]. What is more, famous
decisions for hybrid cloud architectures embrace energy company's different applications
and its need to protect cyber assets by using authentication procedure. The activity of
cybersecurity partners also plays an important role for the promotion of quality of
service for a lot cloud computing users. Nowadays most of all energy companies is vital
part of critical energy infrastructure and need to solve serious problems, that related to
the data processing. There are problems as follows: a) need to improve efficiency CEI
based on implementations of big data procedures; b) management larger and larger
information domains, such as IoT, PMU, wireless sensor network, SCADA system; c)
number of information technologies and integration applications are climbing fast.
Figure 3 shows hybrid cloud architecture (HCA) with feature of Availability as a
Service. In accordance with Fig. 3 HCA includes five clearly defined layers, namely
Critical Energy Infrastructure, Microservice Operation System, Infrastructure as a Service
Cloud Core, Application Program Interfaces, Availability as a Cloud Service Platform.
Furthermore, Module of Authentication and Virtual Private Network are important
components of the HCA. A summary of some of the characteristics is summarized
below.
        </p>
        <p>
          Control system of CEI contains as famous so new components. Traditionally,
SCADA system is system which designed for supervision and data acquisition of
substations of CEI located over large and distant geographic areas [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ]. PMU consist of
three applications, such as Power System Monitoring, Power System Protection and
Power System Control [
          <xref ref-type="bibr" rid="ref14">14</xref>
          ]. In fact, PMU is system of accurate phase measurements.
Nets of Internet of Things (IoT) and Wireless Sensor Network are constituted the basis
of modern measurements technologies based on achievements of Internet. Digital
information from these devices are inputted out into Service Router of the Microservice
OS.
        </p>
        <p>
          Microservice OS includes suite of some modular services in order to build quite large
applications. Each module supports a specific business goal and uses a simple,
welldefined interface to communicate with other sets of services [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ]. Since cloud
computing apply greater volumes of the information, therefore next component is servers for
processing big data. Software (SW) Hadoop MapReduce is an open source
implementation of MapReduce framework that processes vast amounts of data in parallel on
clustered computers [
          <xref ref-type="bibr" rid="ref16">16</xref>
          ]. Hadoop Distributed File System, Kafka and Spark technologies
belong to the Hadoop Big Data Platform and leverage for quick cloud computing
operations. This platform solves different tasks based on SW Hadoop Map Reduce.
Suppose, according to Figure 2 data stream from PMU are delivered to Amazon S3.
Services of Amazon S3, Amazon EC2 perform computations, taking place in the
compute cloud and the results are delivered to the operational grid [
          <xref ref-type="bibr" rid="ref2">2</xref>
          ] of the Critical Energy
Infrastructure. Amazon Virtual Private Network (VPN) is used as transportation
infrastructure. Furthermore, data stream as input dates is delivered through Application
Program Interfaces (APIs) to the AaaCS Platform. Need also take into account, that access
requirements for ensuring of appropriate cybersecurity level are supported by special
authentication module.
        </p>
        <p>Nowadays Disaster Recovery (DR) is as well one of the most widely submitted
technique of ensuring availability requirement for IaaS Cloud. In this regard, replication of
data from one cloud service provider (CSP) to the others is quite effective procedure
for disaster recovery implementation. Therefore, if needed data stream can be delivered
to storage units and cloud computing nodes of other CSPs, namely Microsoft and
Google. Next, data stream transforms into special data types by using Integration Server
APIs, Distributed Integration Server (DIS), Web Framework AIPs and DIS. These
models are applied by staff of CS for CEI in order to solve tasks in accordance with
Table 1 for Critical Energy Infrastructure's components. Tasks for overall CEI,
including IaaS Cloud can be solved by using modules Meta Availability Model and Meta
Modeling Results.</p>
        <p>
          As a result, can be made a conclusion, that a quite large part of the Common Models
module (Fig. 3) can be presented by Markov and SMP models. As an illustration, can
be considered SMP approach based on familiar theoretical provisions pertaining to the
usage embedded Markov chains [
          <xref ref-type="bibr" rid="ref17 ref7">7,17</xref>
          ]. Traditionally can be assumed that SMP
availability model contains three pools of PMs [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ]. The researchers can also be assumed,
that cloud infrastructure is equipped with Technical and Information States Monitoring
System (TIMS), which works in different regimes and can provide migration, repair
operations for unavailable PMs. Indeed, in separate situations the TIMS system already
the ability to perform functionalities of Physical Machines Monitor in order to detect
different negative events pertaining to the deliberate malicious impacts. Determining
the availability level as steady state probability for IaaS Cloud or CEI was conducted
using a famous equation [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ]:
        </p>
        <p>m
Ass   i ,</p>
        <p>i1
where  i – steady state probability for available states of IaaS Cloud or CEI; m –
overall number of available states of the IaaS Cloud or CEI.</p>
        <p>
          Intermediate parameters' values in order to determine steady state probabilities  i
can be written as [
          <xref ref-type="bibr" rid="ref17 ref18 ref7">7,17,18</xref>
          ]:
        </p>
        <p>
          
Pij   pij   1  Qi   dQij   ,
0 i

hi   1  Fi   d ,
0
(3)
(4)
(5)
where pij – elements of transition probability matrix P  pij ; h j – mean sojourn
times [
          <xref ref-type="bibr" rid="ref19">19</xref>
          ] for all states of SMP availability model; Qi   , Qij   – cumulative
distribution function for transition from state i to states  and j for IaaS Cloud or CEI
[
          <xref ref-type="bibr" rid="ref18">18</xref>
          ]; Fi   – distribution function of sojourn time in state i for IaaS Cloud or CEI
[
          <xref ref-type="bibr" rid="ref18">18</xref>
          ].
        </p>
        <p>As an example, Figures 4, 5 are illustrated SMP modeling results for IaaS Cloud
with multiple pools of physical machines.</p>
        <p>
          Fig. 5. Availability modeling results for T  100 h,   0,75 1/h [
          <xref ref-type="bibr" rid="ref17">17</xref>
          ]
The special situations considering the deliberate malicious impacts on physical and
information resources of the cloud infrastructure are as well as great interest, since
preliminary mathematical modeling results can be employed in order to development of
preventive measures both for IaaS Cloud and CEI. Take into consideration, that
implementation of migration processes of the information resources for PMs based on using
of monitoring system for IaaS Cloud and PMU system for CEI is one of the most
effective measure for overcome issues pertaining to the deliberate malicious impacts.
Figure 6 is presented modeling results of overall availability level for cloud
infrastructure based on SMP which considers double deliberate malicious impacts on information
resources of the PMs. Modeling results are received for IaaS Cloud with multiple pools
of PMs for different rates 3 and 4 of double malicious impacts, namely 1 – when
3 4  0,2 ; 2 – when 3 4  0,21 ; 3 – when 3 4  0,22 ;
4 – when
3 4  0,235 ; 5 – when 3 4  0,25 [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ].
Thus, in order to assess overall availability level of CS for CEI, including IaaS Cloud,
users and vendors of cloud services can leverage the web resource proposed, hosted on
the AaaCS Platform.
3
        </p>
        <p>Conclusions and Discussions
This paper explores a serious issue of ensuring availability of the Control System for
Critical Energy Infrastructure considering different components that impact on
effectiveness CEI. Cloud platform in order to assess overall availability of the CS for CEI
was proposed by authors. Theoretical provisions of proposed cloud technology are
based on famous mathematical and simulation modeling provisions. In spite of the fact,
offered cloud platform was practically proposed for CEI, authors did not try to describe
process of ensuring the close relationship between critical energy infrastructure and
IaaS Cloud. Main task was considered as description of the concrete cloud platform
architecture, presentation of mathematical availability modeling possibilities for IaaS
Cloud based on SMP and as well as rationale of the appropriate future researches in
this domain.</p>
        <p>Some problems related to the optimization procedures of operational regimes and
architecture IaaS Cloud can be overcome, using proposed toolkit. The described AaaCS
platform will be extended to solve tasks pertaining to the other important properties of
CEI and IaaS Cloud.</p>
      </sec>
    </sec>
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